Arrange the following in incresing order of basic strength :
`C_(6)H_(5)NH_(2),C_(2)H_(5)NHCH_(3),C_(6)H_(5)N(CH_(3))_(2)`.

Explanation

To determine the increasing order of basic strength for the compounds \( C_6H_5NH_2 \), \( C_2H_5NHCH_3 \), and \( C_6H_5N(CH_3)_2 \), we need to analyze the effects of the substituents on the nitrogen atom in each compound.

### Step 1: Identify the Compounds
1. **Aniline**: \( C_6H_5NH_2 \) (phenyl group attached to an amine)
2. **Ethylmethylamine**: \( C_2H_5NHCH_3 \) (ethyl and methyl groups attached to an amine)
3. **Dimethylaniline**: \( C_6H_5N(CH_3)_2 \) (two methyl groups and a phenyl group attached to nitrogen)

### Step 2: Analyze the Effects of Substituents
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